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Finding the Third Proportional to 9,803.06 and 21,134.24

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Solution

The third proportional to 9,803.06 and 21,134.24 is: 45,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.06 : 21,134.24 = 21,134.24 : x
  2. Step 2: Convert to fraction form
    9,803.06/21,134.24 = 21,134.24/x
  3. Step 3: Cross multiply
    9,803.06x = 21,134.24 × 21,134.24
  4. Step 4: Simplify right side
    9,803.06x = 446,655,965.81
  5. Step 5: Solve for x
    x = 446,655,965.81/9,803.06
  6. Step 6: Final answer
    x = 45,562.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.